In combinatorial mathematics, a Dowling geometry, named after Thomas A. Dowling, is a matroid associated with a group. There is a Dowling geometry of each rank for each group. If the rank is at least 3, the Dowling geometry uniquely determines the group. Dowling geometries have a role in matroid theory as universal objects (Kahn and Kung, 1982); in that respect they are analogous to projective geometries, but based on groups instead of fields.
A Dowling lattice is the geometric lattice of flats associated with a Dowling geometry. The lattice and the geometry are mathematically equivalent: knowing either one determines the other. Dowling lattices, and by implication Dowling geometries, were introduced by Dowling (1973a,b).
A Dowling lattice or geometry of rank n of a group G is often denoted Qn(G).
combinatorial mathematics, a Dowlinggeometry, named after Thomas A. Dowling, is a matroid associated with a group. There is a Dowlinggeometry of each rank for each...
December 2019. Retrieved 23 September 2019. Linnaeus Wayland Dowling (1917). Projective Geometry. McGraw-Hill book Company, Incorporated. p. 10. G. Gierz...
and M(Ω/S) = M(Ω)/S. Frame matroids generalize the Dowlinggeometries associated with a group (Dowling, 1973). The frame matroid of a biased 2Cn (see Examples...
ISBN 9781931914598. Protter & Morrey (1970, p. 583) Dowling, Linnaeus Wayland (1917-01-01). Projective Geometry. McGraw-Hill book Company, Incorporated. G. B...
contribution, by Kahn & Kung (1982), showed why projective geometries and Dowlinggeometries play such an important role in matroid theory. By the 1980s...
He has been noted for the linkages that he has found between algebraic geometry and combinatorics. Huh was born in Stanford, California while his parents...
analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory,...
around 6,500 km. The appearance of the main ring depends on the viewing geometry. In forward-scattered light the brightness of the main ring begins to decrease...
establishment during 1826 the medal has been awarded 405 times. Professor Ann Dowling: Cambridge University, 2019. Professor Lewis Wolpert: University College...
(2004). "Jupiter's outer satellites and Trojans" (PDF). In Bagenal, Fran; Dowling, Timothy E.; McKinnon, William B. (eds.). Jupiter: The Planet, Satellites...
Timing and 2.5-litre 2KD-FTV and 3.0-litre 1KD-FTV common rail variable geometry turbocharger diesel models. Grade levels are G and G Luxury for rear-wheel...
Severn Bridge, which deployed box girders; Irish civil engineer Patrick J. Dowling, head of the Department of Civil and Environmental Engineering, Imperial...
1946, Naples) was an Italian mathematician, specializing in projective geometry, and a historian of mathematics. He received in 1883 his Ph.D. (laurea)...
Revolution ,"J.P.Dowling and G.J.Milburn, Phil. Trans. R. Soc. A 361, 3655 (2003) "Quantum Technology: The Second Quantum Revolution," J.P.Dowling and G.J.Milburn...
Wars prequels made Hollywood interested in creating trilogies. Stephen Dowling from the BBC noted that The Matrix's success in taking complex philosophical...
Browne-Rudolph protocol. Kok, Pieter; Munro, W. J.; Nemoto, Kae; Ralph, T. C.; Dowling, Jonathan P.; Milburn, G. J. (2007-01-24). "Linear optical quantum computing...
ASTM International, pp. 1–14, doi:10.1520/stp32032s, ISBN 9780803100329 Dowling, Norman E. (2012). Mechanical behavior of materials: engineering methods...
structure, its usefulness extends further into several areas including geometry and optimization. The first appearance of oriented matroids was in a 1966...
work of Weil and Zariski and effected fundamental advances in algebraic geometry. He introduced the idea of K-theory (the Grothendieck groups and rings)...
Gallier's most heavily cited research paper, with his student William F. Dowling, gives a linear time algorithm for Horn-satisfiability.[DG84] This is a...
Archived from the original on 6 June 2022. Retrieved 15 January 2022. Dowling, Stephen (12 April 2021). "Yuri Gagarin: the spaceman who came in from...
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